Alamppost is 6 feet high and casts an 8 foot shadow. at the same time of day, a flagpole near the lamppost casts a 20 foot shadow. using the properties of similar triangles, find the height, h, of the flagpole.

The height is 15 ft.

Step-by-step explanation:

Set up a proportion using the info you have for the lamppost and for the flagpole. Use H for the unknown.

    lamppost                      flagpole

height/shadow    =    height/shadow

        6/8              =              H/20

6/8 = H/20

Reduce the left fraction.

3/4 = H/20

Cross multiply.

4H = 3 * 20

4H = 60

H = 15

The height is 15 ft.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.